1414039680 has 160 divisors (see below), whose sum is σ = 5049976140. Its totient is φ = 377063424.

The previous prime is 1414039667. The next prime is 1414039687. The reversal of 1414039680 is 869304141.

It can be written as a sum of positive squares in 2 ways, for example, as 1343075904 + 70963776 = 36648^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1414039680² = 3999016433229004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1414039687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38202 + ... + 65478.

Almost surely, 2^1414039680 is an apocalyptic number.

1414039680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524988070).

1414039680 is an abundant number, since it is smaller than the sum of its proper divisors (3635936460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1414039680 is an equidigital number, since it uses as much as digits as its factorization.

1414039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27308 (or 27287 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1414039680 is about 37603.7189650173. The cubic root of 1414039680 is about 1122.4160429135.

The spelling of 1414039680 in words is "one billion, four hundred fourteen million, thirty-nine thousand, six hundred eighty".